English

How special is your Aronszajn tree?

Logic 2007-05-23 v1

Abstract

The following is consistent: There is a stationary set S such that every Aronszajn tree is S-*-special and there is an Aronszajn tree T such that for every unbounded E we have T is not E-special. This answers a question of Shelah (Proper and Improper Forcing, IX.4.9(5).

Cite

@article{arxiv.math/0312445,
  title  = {How special is your Aronszajn tree?},
  author = {Chaz Schlindwein},
  journal= {arXiv preprint arXiv:math/0312445},
  year   = {2007}
}